Used working steel 3/8" female quick connect to 3/8" NPT male pipe thread. H-style couplers are commonly used with larger tool applications requiring more SCFMs. Info from OEM 3/8" is larger than normal couplers, intended for high flow applications.
Milton S1838 H Style Plugs 3/8" Female NPT Steel Quick Release Plugs, Two Pack
Milton 1834 H-Style Compressor MALE Coupler 1/4" NPT Air Tool Fitting
(1 / 10) Milton 1837 PLUG 3/8" Male NPT, H-Style, (3/8" Series) Free S&H
(1 / 10) Milton 1838 PLUG, 3/8" Female NPT, H-Style, (3/8" Series) Free S&H
(1 / 10) Milton 1839 PLUG, 1/4" Male NPT, H-Style, (3/8" Series) Free S&H
Milton S-223 5 Piece "H" Style Reducer Coupler Kit - Free S&H